THERMAL SCIENCE

International Scientific Journal

Derya Avci

,

Beyza Billur Iskender Eroğlu

,

Necati Özdemir

CONFORMABLE HEAT EQUATION ON A RADIAL SYMMETRIC PLATE

ABSTRACT
The conformable heat equation is defined in terms of a local and limit-based definition called conformable derivative which provides some basic properties of integer order derivative such that conventional fractional derivatives lose some of them due to their non-local structures. In this paper, we aim to find the fundamental solution of a conformable heat equation acting on a radial symmetric plate. Moreover, we give a comparison between the new conformable and the existing Grunwald-Letnikov solutions of heat equation. The computational results show that conformable formulation is quite successful to show the sub-behaviors of heat process. In addition, conformable solution can be obtained by a analytical method without the need of a numerical scheme and any restrictions on the problem formulation. This is surely a significant advantageous compared to the Grunwald-Letnikov solution.
KEYWORDS
conformable derivative, conformable heat equation, Grünwald-Letnikov
PAPER SUBMITTED: 2016-04-27
PAPER REVISED: 2016-05-30
PAPER ACCEPTED: 2016-06-27
PUBLISHED ONLINE: 2016-12-03
DOI REFERENCE: https://doi.org/10.2298/TSCI160427302A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 2, PAGES [819 - 826]
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Conformable heat equation on a radial symmetric plate

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